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Finding the Fourth Proportional to 52,048.46, 71,826.86 and 28,175.34

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Solution

The fourth proportional to 52,048.46, 71,826.86 and 28,175.34 is: 38,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.46 : 71,826.86 = 28,175.34 : x
  2. Step 2: Convert to fraction form
    52,048.46/71,826.86 = 28,175.34/x
  3. Step 3: Cross multiply
    52,048.46x = 71,826.86 × 28,175.34
  4. Step 4: Simplify right side
    52,048.46x = 2,023,746,201.63
  5. Step 5: Solve for x
    x = 2,023,746,201.63/52,048.46
  6. Step 6: Final answer
    x = 38,881.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.